You are watching: How many seconds are in a degree There space several methods to measure up the size of an angle. One way is come use systems of degrees. Radian measure up is one more way. (Definition the a radian) below we will work with degrees.

In a finish circle there space three hundred and also sixty degrees.

An angle could have a measure up of 35.75 degrees. The is, the size of the edge in this situation would be thirty-five full degrees plus seventy-five hundredths, or 3 fourths, of second degree. An alert that below we room expressing the measurement as a decimal number. Using decimal numbers favor this one can express angles to any type of precision - to percentage percent of a degree, to thousandths the a degree, and so on.

There is another method to state the size of an angle, one that subdivides a level using a system different than the decimal number instance given above. The level is separated into sixty parts called minutes. This minutes space further divided into sixty parts called seconds. The words minute and 2nd used in this context have actually no immediate connection to how those words are usually used as quantities of time.

In a full circle there space 360 degrees.

Each level is split up into 60 parts, each component being 1/60 the a degree. These parts are dubbed minutes.

Each minute is split up right into 60 parts, each component being 1/60 of a minute. These components are referred to as seconds. The dimension of one angle can be proclaimed this way: 40 degrees, 20 minutes, 50 seconds.

There are symbols the are supplied when stating angles using degrees, minutes, and also seconds. Those icons are present below:

Symbol because that degree: Symbol for minute: Symbol because that second: So, the angle of 40 degrees, 20 minutes, 50 secs is generally written this way: How could you state the over as an edge using common decimal notation? The angle would be this many degrees, (* way times.):

40 + (20 * 1/60) + (50 * 1/60 * 1/60)

That is, we have actually 40 full degrees, 20 minute - each 1/60 the a degree, and 50 secs - every 1/60 that 1/60 the a degree.

Work the out and you will gain a decimal number of degrees. It"s 40.34722...

Going the other way is a bit much more difficult. Intend we start with 40.3472 degrees. Have the right to we express that in devices of degrees, minutes, and seconds?

Well, very first of every there are certainly 40 levels full degrees. That pipeline 0.3472 degrees.

So, how many minutes is 0.3472 degrees? Well, how plenty of times can 1/60 go into 0.3472? Here"s the very same question: What is 60 times 0.3472? It"s 20.832. So, there space 20 complete minutes with 0.832 that a minute remaining.

How plenty of seconds room in the last 0.832 minutes. Well, how plenty of times deserve to 1/60 go into 0.832, or what is 60 times 0.832? It"s 49.92, or practically 50 seconds.

So, we"ve figured that 40.3472 levels is nearly exactly same to 40 degrees, 20 minutes, 50 seconds.

(The only reason we fell a bit short of 50 seconds is that us really offered a slightly smaller angle in this second fifty percent of the calculation explanation. In the original angle, 40.34722... Degrees, the decimal repeats the critical digit that 2 infinitely, so, the original angle is a little bit bigger 보다 40.3472.)

Here"s a calculator that will certainly take you from angle measurement using degrees, minutes, and also seconds to edge measurement expressed as a decimal number.

Makeup an edge measurement using degrees, minutes, and also seconds. Then,using the above procedures, calculation what that angle measurement wouldbe if it were expressed as a decimal number. Finally, get in youroriginal edge in degrees, minutes, and also seconds into this calculator,click the "Calculate" button, and also see if your conversion mathematicswas correct. Only get in positive integers into this calculator. Thatis, perform not enter any numbers favor 5.5, -5.5, or -5.

 Degrees: Minutes: Seconds:

Click this button to see the really JavaScript password that executes in the above program:

Here"s the code that runs once you click the above "Calculate" button on the over Degrees, Minutes, Seconds program. That is shown here as a possible aid for her study and also understanding.

You can adjust the code, if girlfriend like, and then click the complying with "Reevaluate code" button.The routine will then job-related as every your changes when you click the "Calculate" button on the above Degrees, Minutes, Seconds program.Of course, your changes, especially random changes, can introduce errors, miscalculations, and also browser crashes. If you require to obtain things ago to their initial condition, just reload this page using her browser"s reload button.

Again, the intention here is come conveniently display you the inner functions of this regimen so that you understand just how the regimen arrives at the result. Click the "Code" switch again come close this section.

window.onClickCalculateDegMinSec = function()// Variables.var degrees = 0;var minutes = 0;var secs = 0;var decDegrees = 0.0;// get degrees, minutes, and also seconds native user.degrees = parseFloat(window.document.degMinSec.degrees.value);minutes = parseFloat(window.document.degMinSec.minutes.value);seconds = parseFloat(window.document.degMinSec.seconds.value);// Is levels negative?if(degrees = 360.0)// Yes, degrees is better than or equal to 360.// announce the error and quit.alert("The degrees should be less than 360.");return;// Is minutes greater than or same to 60?if(minutes >= 60.0)// Yes, minutes is better than or same to 60.// announcement the error and also quit.alert("The minutes need to be much less than 60.");return;// Is seconds better than or same to 60?if(seconds >= 60.0)// Yes, seconds is higher than or same to 60.// announcement the error and also quit.alert("The seconds should be much less than 60.");return;// all is well, let"s calculate.decDegrees = levels + (minutes * (1.0 / 60.0)) + (seconds * (1.0 / 3600.0));// calculation result.alert("The decimal variety of degrees is " + decDegrees + ".");

Here"s one more calculator the you deserve to use to check your work-related going from an edge measurement making use of a decimal variety of degrees come the very same angle measurement expressed in terms of degrees, minutes, and also seconds. The final an outcome is rounded to the nearest second.

 Decimal variety of degrees:

Click this switch to check out the actual JavaScript password that executes in the over program:

Here"s the password that runs as soon as you click the over "Calculate" switch on the above Decimal number of degrees program. The is shown here as a feasible aid for her study and also understanding.

You can adjust the code, if friend like, and then click the adhering to "Reevaluate code" button.The program will then work as per your transforms when you click the "Calculate" button on the above Decimal variety of degrees program.Of course, her changes, specifically random changes, have the right to introduce errors, miscalculations, and browser crashes. If you need to gain things earlier to their original condition, just reload this page using her browser"s reload button.

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Again, the intention right here is to conveniently present you the inner operations of this regimen so the you understand just how the regime arrives in ~ the result. Click the "Code" switch again to close this section.

window.onClickCalculateDecDeg = function(){// Variables.var levels = 0;var degreesTemp = 0.0;var minute = 0;var minutesTemp = 0.0;var seconds = 0;var secondsTemp = 0.0;var article = "";var isNegativeAngle;// obtain decimal number of degrees indigenous user.degreesTemp = parseFloat(window.document.decDegrees.decDegrees.value);// Assume angle is not negative.isNegativeAngle = false;// Is the decimal variety of degrees negative?if(degreesTemp